Answer and Step-by-step explanation:
We are given:
[tex]\frac{2y-1}{-3} = 5[/tex]
First, we multiply both sides by -3.
2y - 1 = 15
Now we add 1 to both sides.
2y = 16
Finally, we divide by 2 to each side.
y = 8
We are given:
2x + 30 = -4(5x -2)
First we distribute the -4 to 5x and -2.
2x + 30 = -20x + 8
Now we subtract 8 from both sides.
2x + 22 = -20x
Now we subtract 2x from both sides.
22 = -22x
Finally, we divide by -22 to both sides.
-1 = x
Statements: Reasons:
Given
2y - 1 = 15 Multiplication Property of Equality
2y = 16 Addition like terms
y = 8 Division Property of Equality
Statements: Reasons:
2x + 30 = -4(5x -2) Given
2x + 30 = -20x + 8 Distribution Property of Equality
2x + 22 = -20x Subtraction Property of Equality
22 = -22x Subtraction Property of Equality
-1 = x Division Property of Equality
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